# Amplitude and Phase in 2D Fourier Transforms

Amplitude and Phase in 2D Fourier Transforms

In this Demonstration, we take the 2D Fourier transform of a 2D Gaussian, , with standard deviation :

T(x,y)

σ

ℱ[T(x,y)]=V(u,v)

The middle and right panels plot the amplitude and phase of the transformed function, , respectively. The 2D Fourier transform of a real-valued function may result in a complex-valued function. The amplitude is determined by the contribution from a certain frequency component, while the phase carries additional information on the spatial distribution.

V(u,v)